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math.NA2022★ 1 cited
The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation
Anuj Abhishek, Thuy Le, Loc Nguyen +1
We propose to combine the Carleman estimate and the Newton method to solve an inverse source problem for nonlinear parabolic equations from lateral boundary data. The stability of…
math.NA2022
Global reconstruction of initial conditions of nonlinear parabolic equations via the Carleman-contraction method
Thuy T. Le
We propose a global convergent numerical method to reconstruct the initial condition of a nonlinear parabolic equation from the measurement of both Dirichlet and Neumann data on th…